We're dividing 743241 by 9 
We want to figure out the number of times 743241 can be divided by 9.

Step 1:
9 can be fit into 7 0 times, resulting in a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Take the next digit (4) from the dividend and append it to 7, then repeat: 74 / 9

On to step 2:
9 can be fit into 74 8 times, resulting in a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Deduct 72 from 74 and we're left with 2.
Grab the next digit (3) from the dividend, add it to 2, then carry on: 23 / 9

Step 3:
9 goes into 23 2 times with a remainder of 5.
The number 2 becomes the next digit in our result. 
Result so far: 82.0
Subtract 18 from 23 to get 5.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 9

Let's proceed to step 4:
9 can be fit into 52 5 times, resulting in a remainder of 7.
The next digit of our result is 5. 
Result so far: 825.0
Deduct 45 from 52 and we're left with 7.
Fetch the next digit (4) from the dividend, attach it to 7 and continue: 74 / 9

On to step 5:
9 goes into 74 8 times with a remainder of 2.
The next digit of our result is 8. 
Result so far: 8258.0
Subtracting 72 from 74 leaves us with 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 9

On to step 6:
If we divide 21 by 9, we get 2 and a remainder of 3.
Record the quotient 2 as the next digit in the result. 
Result so far: 82582.0
The remainder is 3 after subtracting 18 from 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 7:
30 divided by 9 is 3 with a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 82582.3
If we subtract 27 from 30, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 8:
9 can be fit into 30 3 times, resulting in a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 82582.33
The remainder is 3 after subtracting 27 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Our division results in 82582.33 with a remaining 0.003.